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Finding the Fourth Proportional to 258,250, 387,389.64 and 92,038

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Solution

The fourth proportional to 258,250, 387,389.64 and 92,038 is: 138,062.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,250 : 387,389.64 = 92,038 : x
  2. Step 2: Convert to fraction form
    258,250/387,389.64 = 92,038/x
  3. Step 3: Cross multiply
    258,250x = 387,389.64 × 92,038
  4. Step 4: Simplify right side
    258,250x = 35,654,567,686.32
  5. Step 5: Solve for x
    x = 35,654,567,686.32/258,250
  6. Step 6: Final answer
    x = 138,062.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.